A binary operation oplus om real numbers is def... - JAMB Mathematics 2011 Question
A binary operation \(\oplus\) om real numbers is defined by x \(\oplus\) y = xy + x + y for two real numbers x and y. Find the value of 3 \(\oplus\) - \(\frac{2}{3}\).
A
- \(\frac{1}{2}\)
B
\(\frac{1}{3}\)
C
-1
D
2
correct option: b
N + Y = XY + X + Y
3 + -(\frac{2}{3}) = 3(- (\frac{2}{3})) + 3 + (- (\frac{2}{3}))
= -2 + 3 -(\frac{2}{3})
= (\frac{1 - 2}{1 - 3})
= (\frac{1}{3})
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